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Literature cited
M. G. Krein and M. A. Rutman, Linear operators leaving a cone invariant in Banach space, Uspekhi Matem. Nauk,3, No. 1, 3–95 (1948).
M. A. Krasnosel'skii, Positive Solutions of Operational Equations [in Russian], Moscow (1962).
V. Ya. Stetsenko, A bound for spectra of certain classes of linear operators, Dokl. AN SSSR,157, No. 5, 1054–1057 (1964).
A. R. Esoyan and V. Ya. Stetsenko, Solvability of Equations of the Second Kind [in Russian], Proceedings of a Seminar on Functional Analysis, Voronezh,7, 36–41 (1963).
A. R. Esoyan and V. Ya. Stetsenko, Bounds for spectra of integral operators and infinite matrices, Dokl. AN SSSR,157, No. 2, 254–257 (1964).
I. A. Bakhtin and A. R. Esoyan, The bounds of point spectra of linear operators, Dokl. AN TodzhSSR,8, No. 5, 6–10 (1965).
V. Ya. Stetsenko, “Criteria for the nondecomposability of linear operators, Uspekhi Matem. Nauk,21, No. 4, 265–267 (1966).
F. Bonsall, Linear Operator in complete positive cones, Proc. London Math. Soc., 8, No. 29, 53–75 (1958).
L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partially Ordered Spaces [in Russian], Moscow-Leningrad, (1950).
I. A. Bakhtin, M. A. Krasnosel'skii, and V. Ya. Stetsenko, The continuity of positive linear operators, Sib. Matem. Zh.,3, No. 1, 85–89 (1962).
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Translated from Matematicheskie Zametki, Vol. 1, No. 4, pp. 461–468, April, 1967.
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Zabreiko, P.P., Krasnosel'skii, M.A. & Stetsenko, V.Y. Bounds for the spectral radius of positive operators. Mathematical Notes of the Academy of Sciences of the USSR 1, 306–310 (1967). https://doi.org/10.1007/BF01095549
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DOI: https://doi.org/10.1007/BF01095549